NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 01:01 It is currently 25 Apr 2024, 01:01
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with

User avatar
jinesh
Manager
Manager
Joined: 31 Jan 2005
Posts: 88
Own Kudos [?]: 4 [0]
Given Kudos: 0
Send PM
Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 05:32
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
Is |x| = y - z?

1) x + y = z
2) x > 0

Not very good with ABS Value. Can someone explain this in detail



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
BG
Senior Manager
Senior Manager
Joined: 13 Nov 2003
Posts: 357
Own Kudos [?]: 176 [0]
Given Kudos: 0
Location: BULGARIA
Concentration: INSURANCE, RISK MANAGEMENT
 Q49  V38
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 06:22
think it should be B)
If X>0 then mod X=X if X<0 then mod X= -X
User avatar
coolfish1103
Intern
Intern
Joined: 07 Jan 2006
Posts: 25
Own Kudos [?]: 20 [0]
Given Kudos: 0
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 11:16
Is |x| = y - z?

-> |x| = y - z & |-x| = y - z both fulfills

(1) x + y = z

-> |x| = y - z & |-x| = y - z

|x| = y - z & |-x| = y - z
x = y - z & -x = y - z
x - y = z & x + y = z

Insufficient:
If x is a positive value, it will not fulfill the condition.
- Original: |5| = 3 - 2 [False]
- Condition (1): 5 - 3 = 2
If x is a negative value, it will not fulfill the condition.
- Original: |-5| = 3 - (-2) [True]
- Condition (1): -5 + 3 = -2

(2) x > 0

Insufficient, we do not know value of y and z in relation to x.

(1) & (2)
If x is positive from (2), applying (1) into the condition still will not fulfill the condition.

(E)
User avatar
ps_dahiya
VP
VP
Joined: 20 Nov 2005
Posts: 1490
Own Kudos [?]: 1133 [0]
Given Kudos: 0
Concentration: Strategy, Entrepreneurship
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
 Q50  V34
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 11:38
I think its C

What to find |x| = y-z ?

St1:
-x = y-z

1. y = 10, z = 5 , y-z = 5 Then x = -5 and main stem = TRUE
2. y = 5 , z = 10 , y-z = -5 Then x = 5 and main stem = FALSE
3. y = -5 , z = -10, y-z = 5 Then x = -5 and main stem = TRUE
4. y = -10, z = -5 , y-z = -5 Then x = 5 and main stem = FALSE

So INSUFF

St2:
x>0. No information about y and z. So INSUFF

Combined:
Taking the values taken in st1, only case 2 and 4 satisfies both statement 1 and 2. So main stem result is FALSE. So SUFF.

Guys, please correct me if I am wrong.
User avatar
giddi77
Director
Director
Joined: 21 Sep 2003
Posts: 528
Own Kudos [?]: 257 [0]
Given Kudos: 0
Location: USA
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 12:04
I also think it is C.

Is |x| = y-z ?
If the question is rephrased:

For x>0, Is x = y-z ? --- (I)
For x<0, Is x = -(y-z)? ---(II)

(1) x+y = z
This satisfies (II) which is true when x<0 ; but we don't know what happens when x>0. INSUFF.
(2) x>0. INSUFF because we don't know y & z.

Combining (1) & (2), we know that x can be only +ve number, so we need to answer the question (I) only!!
which is Is x = y-z? Given that x+y = z
Answer is NO.

Hence C.
User avatar
lhotseface
Director
Director
Joined: 20 Sep 2005
Posts: 799
Own Kudos [?]: 52 [0]
Given Kudos: 0
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 12:14
I got C. Not 100% sure...

|x| = y -z.
If x> 0, x = y - z.
if x < 0. -x = y - z, x = -(y-z) = z -y => x+y = z.

II. INSUFF.
I. Gives that x+y=z., which would make the question stem true if x <0. We don't know that.

I+II -> Gives x > 0, then |x| = y -z must be equal to x = y-z., but II gives x+y =z, so we can anwer NO to the question stem.





jinesh wrote:
Is |x| = y - z?

1) x + y = z
2) x > 0

Not very good with ABS Value. Can someone explain this in detail
User avatar
believe2
Manager
Manager
Joined: 15 Aug 2005
Posts: 55
Own Kudos [?]: 37 [0]
Given Kudos: 0
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 19:55
agree with C.
...same reason as above.
User avatar
andy_gr8
Manager
Manager
Joined: 04 Oct 2005
Posts: 240
Own Kudos [?]: 25 [0]
Given Kudos: 0
Location: Chicago
Send PM
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink] New post   12 Jan 2006, 23:31
I would go with C
Let see

Question stem gives (+/-)x=y-z
=> either (If x +ve)x=y-z or x=z-y(If x -ve)

a) x+y=z
When x is +ve this eq gives us 2y-z=z=>2y=2z=>y=z
Whn x=-ve we get z=z after replacing..So stmnt INSUFFICIENT

b)x>0 means x=y-z .But this is waht we have to prove
INSUFFICEINT
Combine and we get
with x= z-y => which happens only when x is negative
So C



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: Is |x| = y - z? 1) x + y = z 2) x > 0 Not very good with [#permalink]
12 Jan 2006, 23:31
Moderators:
Bunuel
Math Expert
92901 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts
GMATBusters
GMAT Tutor
1905 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions